Properties

Label 58800.dd
Number of curves $1$
Conductor $58800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dd1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.dd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.dd1 58800bx1 \([0, -1, 0, -83708, 28142787]\) \(-88218880/413343\) \(-303933691293750000\) \([]\) \(460800\) \(2.0393\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.dd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 58800.dd do not have complex multiplication.

Modular form 58800.2.a.dd

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{9} + q^{11} - 4 q^{13} - 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display